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Finding the Third Proportional to 90,099 and 122,161.50

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Solution

The third proportional to 90,099 and 122,161.50 is: 165,633.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,099 : 122,161.50 = 122,161.50 : x
  2. Step 2: Convert to fraction form
    90,099/122,161.50 = 122,161.50/x
  3. Step 3: Cross multiply
    90,099x = 122,161.50 × 122,161.50
  4. Step 4: Simplify right side
    90,099x = 14,923,432,082.25
  5. Step 5: Solve for x
    x = 14,923,432,082.25/90,099
  6. Step 6: Final answer
    x = 165,633.71

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.